Topological Deconfinement 3D Noncompact Lattice Abelian-Higgs Model Transitions

Abstract

We discussed the numerical analysis of the dynamics of symmetry breaking in three spatial dimensions for both abelian and non-abelian Higgs models. The topological excitations in the abelian Higgs model as well as in the other field theoretic models that will be described originate from the non-trivial topology of the manifold of vacuum field configurations. We investigate the topological phase transitions that take place in three-dimensional multicomponent lattice Abelian-Higgs (LAH) models that is minimally coupled to a noncompact Abelian gauge field.